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### Table of contents

#### Actions for selected chapters

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#### 1 - BASIC ALGEBRA

Pages 1-48 - Book chapterAbstract only
#### 2 - EQUATIONS AND INEQUALITIES

Pages 49-88 - Book chapterAbstract only
#### 3 - FUNCTIONS AND GRAPHS

Pages 89-122 - Book chapterAbstract only
#### 4 - POLYNOMIAL AND RATIONAL FUNCTIONS

Pages 123-148 - Book chapterAbstract only
#### 5 - EXPONENTIALS AND LOGARITHMS

Pages 149-192 - Book chapterAbstract only
#### 6 - TOPICS IN ALGEBRA

Pages 193-228 - Book chapterAbstract only
#### 7 - COMPLEX NUMBERS

Pages 229-248 - Book chapterAbstract only
#### 8 - DISCRETE ALGEBRA

Pages 249-274 - Book chapterNo access
#### ANSWERS TO ODD-NUMBERED EXERCISES

Pages 275-298 - Book chapterNo access
#### TABLES

Pages 299-305 - Book chapterNo access
#### INDEX

Pages 307-310

## About the book

### Description

Algebra presents the essentials of algebra with some applications. The emphasis is on practical skills, problem solving, and computational techniques. Topics covered range from equations and inequalities to functions and graphs, polynomial and rational functions, and exponentials and logarithms. Trigonometric functions and complex numbers are also considered, together with exponentials and logarithms. Comprised of eight chapters, this book begins with a discussion on the fundamentals of algebra, each topic explained, illustrated, and accompanied by an ample set of exercises. The proper use of algebraic notation and practical manipulative skills such as factoring, using exponents and radicals, and simplifying rational expressions is highlighted, along with the most common mistakes in algebra. The reader is then introduced to the solution of linear, quadratic, and other types of equations and systems of equations, as well as the solution of inequalities. Subsequent chapters deal with the most basic functions of algebra: polynomial, rational, exponential, and logarithm. The book concludes with a review of sequences, permutations and combinations, and the binomial theorem, as well as summation and mathematical induction. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

Algebra presents the essentials of algebra with some applications. The emphasis is on practical skills, problem solving, and computational techniques. Topics covered range from equations and inequalities to functions and graphs, polynomial and rational functions, and exponentials and logarithms. Trigonometric functions and complex numbers are also considered, together with exponentials and logarithms. Comprised of eight chapters, this book begins with a discussion on the fundamentals of algebra, each topic explained, illustrated, and accompanied by an ample set of exercises. The proper use of algebraic notation and practical manipulative skills such as factoring, using exponents and radicals, and simplifying rational expressions is highlighted, along with the most common mistakes in algebra. The reader is then introduced to the solution of linear, quadratic, and other types of equations and systems of equations, as well as the solution of inequalities. Subsequent chapters deal with the most basic functions of algebra: polynomial, rational, exponential, and logarithm. The book concludes with a review of sequences, permutations and combinations, and the binomial theorem, as well as summation and mathematical induction. This monograph will be a useful resource for undergraduate students of mathematics and algebra.

## Details

### ISBN

978-0-12-259666-7

### Language

English

### Published

1975

### Copyright

Copyright © 1975 Elsevier Inc. All rights reserved.

### Imprint

Academic Press